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Finding the Fourth Proportional to 118.42, 163.42 and 66.67

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Solution

The fourth proportional to 118.42, 163.42 and 66.67 is: 92.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.42 : 163.42 = 66.67 : x
  2. Step 2: Convert to fraction form
    118.42/163.42 = 66.67/x
  3. Step 3: Cross multiply
    118.42x = 163.42 × 66.67
  4. Step 4: Simplify right side
    118.42x = 10,895.21
  5. Step 5: Solve for x
    x = 10,895.21/118.42
  6. Step 6: Final answer
    x = 92.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.